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Integrality property of the root system of a semisimple Lie algebra

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#representation-theory #lie-groups #lie-algebras #root-systems #semisimple-lie-algebras
93
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Highest-weight module over $\mathfrak{sl}_2$

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#lie-algebras #semisimple-lie-algebras #kac-moody-algebras
93
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semi-simple and completely reducibility

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#group-theory #lie-groups #lie-algebras #compactness #semisimple-lie-algebras
39
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the intersection of a real form and a parabolic subalgebra

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#semisimple-lie-algebras
1k
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semi-simple and simple lie group,SO(n) for n even

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#lie-groups #simple-groups #semisimple-lie-algebras
291
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Are Integrable $\mathfrak g$-modules and locally finite-dimensional $\mathfrak g$-modules equivalent definitions?

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#solution-verification #representation-theory #lie-algebras #semisimple-lie-algebras
41
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Symmetry in the complex semisimple lie algebra - help to understand definition

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#root-systems #semisimple-lie-algebras
47
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Outer automorphisms of multiply connected compact semisimple Lie groups

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#group-theory #lie-groups #semisimple-lie-algebras #dynkin-diagrams
94
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Help with the invariant quadratic forms and the Weyl Group

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#root-systems #semisimple-lie-algebras
39
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Centralizer of elementary unipotent element of Chevalley group over local ring.

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#lie-groups #lie-algebras #algebraic-groups #semisimple-lie-algebras
134
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Dimension of maximal toral subalgebra and number of its roots

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#root-systems #semisimple-lie-algebras
215
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Understanding the proof in Humphreys Lie algebras page 37

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#proof-explanation #lie-algebras #semisimple-lie-algebras
187
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Weyl group $W$ is a normal subgroup of $Aut(R)$

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#lie-algebras #root-systems #semisimple-lie-algebras
138
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Nilpotent orbits from either Dynkin diagram or Levi subalgebras

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#lie-algebras #nilpotence #semisimple-lie-algebras #dynkin-diagrams
276
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Cartan-Weyl basis in terms of simple roots

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#lie-algebras #semisimple-lie-algebras

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